%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:44:40 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO629-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:11:29 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![E,A_3]: (~ 'E'(f(A_3),f(g(A_3))) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![A_3]: (iLEQ(A_3,A_3) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![E,A_3]: (( ~ 'E'('0',f(A_3))| ~ 'E'('0',f(g(A_3)))| 'E'(f(A_3),f(g(A_3))) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![E,A,LE]: (( 'E'(s('0'),f(A))| 'LE'(f(A),s('0')) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,axiom,(
% 0.09/0.39 (![LE,A_3]: (~ 'LE'(f(A_3),'0') ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,axiom,(
% 0.09/0.39 (![LE,A_1,B_0,E]: (( ~ 'LE'(f(A_1),s('0'))| ~ iLEQ(A_1,B_0)| 'E'('0',f(B_0))| 'LE'(f(B_0),'0') ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,axiom,(
% 0.09/0.39 (![E,A_2]: (( ~ 'E'(s('0'),f(A_2))| ~ 'E'(s('0'),f(g(A_2)))| 'E'(f(A_2),f(g(A_2))) ) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f9,axiom,(
% 0.09/0.39 (![A_3]: (iLEQ(A_3,g(A_3)) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,plain,(
% 0.09/0.39 ![A_3]: ~'E'(f(A_3),f(g(A_3)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.39 fof(f14,plain,(
% 0.09/0.39 ![E,X0]: (~'E'(f(X0),f(g(X0))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.39 fof(f15,plain,(
% 0.09/0.39 ![X0]: (iLEQ(X0,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f16,plain,(
% 0.09/0.39 ![A_3]: ((~'E'('0',f(A_3))|~'E'('0',f(g(A_3))))|'E'(f(A_3),f(g(A_3))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.39 fof(f17,plain,(
% 0.09/0.39 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.39 fof(f18,plain,(
% 0.09/0.39 ![A]: ('E'(s('0'),f(A))|'LE'(f(A),s('0')))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 ![E,X0,LE]: ('E'(s('0'),f(X0))|'LE'(f(X0),s('0')))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.39 fof(f20,plain,(
% 0.09/0.39 ![A_3]: ~'LE'(f(A_3),'0')),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.09/0.39 fof(f21,plain,(
% 0.09/0.39 ![LE,X0]: (~'LE'(f(X0),'0'))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 ![B_0]: (((![A_1]: (~'LE'(f(A_1),s('0'))|~iLEQ(A_1,B_0)))|'E'('0',f(B_0)))|'LE'(f(B_0),'0'))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.39 fof(f23,plain,(
% 0.09/0.39 ![LE,X0,X1,E]: (~'LE'(f(X0),s('0'))|~iLEQ(X0,X1)|'E'('0',f(X1))|'LE'(f(X1),'0'))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.39 fof(f24,plain,(
% 0.09/0.39 ![A_2]: ((~'E'(s('0'),f(A_2))|~'E'(s('0'),f(g(A_2))))|'E'(f(A_2),f(g(A_2))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.39 fof(f25,plain,(
% 0.09/0.39 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(g(X0)))|'E'(f(X0),f(g(X0))))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ![X0]: (iLEQ(X0,g(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 ![E,X0]: (~'E'('0',f(X0))|~'E'('0',f(g(X0))))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f17,f14])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 ![LE,X0,X1,E]: (~'LE'(f(X0),s('0'))|~iLEQ(X0,X1)|'E'('0',f(X1)))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f23,f21])).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 ![E,X0]: (~'E'(s('0'),f(X0))|~'E'(s('0'),f(g(X0))))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f25,f14])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 ![X0,X1,E]: (~iLEQ(X0,X1)|'E'('0',f(X1))|'E'(s('0'),f(X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f34,f19])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 ![E,X0]: ('E'('0',f(g(X0)))|'E'(s('0'),f(X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f36,f28])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 ![E,X0]: ('E'('0',f(X0))|'E'(s('0'),f(X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f36,f15])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 ![E,X0]: ('E'('0',f(g(X0)))|~'E'(s('0'),f(X0)))),
% 0.09/0.39 inference(resolution,[status(thm)],[f38,f35])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 ![E,X0]: (~'E'('0',f(X0)))),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f33,f41])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 ![E,X0]: ('E'('0',f(g(X0))))),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f39,f37])).
% 0.09/0.39 fof(f46,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(backward_subsumption_resolution,[status(thm)],[f41,f40])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.035140 seconds
% 0.09/0.41 % CPU time: 0.065531 seconds
% 0.09/0.41 % Total memory used: 1.099 MB
% 0.09/0.41 % Net memory used: 1.090 MB
%------------------------------------------------------------------------------